Hi Shannon,
Honestly there should be absolutely no wobble of the body on the shaft whatsoever, basically it should be a firm fit with no play at all.
If you have no captive cotter and just the two set screws with square heads on them then that is the latest model body, but it has obviously come loose and started to flog out the centre hole that fits over the shaft and as such this has damaged the key steel piece, from there on it can only get worse and not better. As previously mentioned a new body must be used along with a new key steel to firmly locate the body and avoid it twisting on the shaft, then just put a new plastic thrust pad into the system and you'll be away for quite a few years. Oh I forgot about the thrust bearing inside the clutch body. Most people will buy a new one if replacing all those other clutch components, but if you have access to someone that has the correct slide hammer tool to remove the bearing you should be able to just force new grease into it from the back side of it and then reinsert into the new body.
Hope this makes sense to you, if not please ask more questions as I'm only too happy to help out.
Cheers,
BB